Which is the best estimate for the mass of a bicycle?

1 answer:

6 0

10 grams wouldn't make sense because a gram is about the weight of a paperclip and even 10 paper clips would not be anywhere close to the mass of the bicycle so we can eliminate this right away.

1,000 grams wouldn't make sense any either since a kilograms weighs about the size of a thick book and 1,000 grams is equal to 1 kilogram.

100 kilograms is way to heavy because 100 kilograms is around 100 large thick books stacked on top of each other.

This leaves us with 10 kilograms which

is the appropriate weight for a bicycle.

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What value of cc will complete the square below and make the expression a perfect square trinomial?

Sav [38]

Question: What value of c will complete the square below ( $x^{2} +30x+c$ ) and make the expression a perfect square trinomial?

Answer: c = 225

Step-by-step explanation:

Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that a = x, and b² = c, but we need to find the numerical value of $c$ .

To do this, note that the middle term, or 2ab, corresponds with (is equal to) 30x. We know that a = x, and thus, 2ab = 2bx. Now, 2bx and 30x are corresponding terms; thus, 2bx = 30x.

Dividing by $2x$ on both sides gives us b = 15. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)